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101119471320 = 23357210321621
BaseRepresentation
bin101111000101100110…
…0001010111011011000
3100200000012010101012110
41132023030022323120
53124043041040240
6114241553112320
710206556216200
oct1361314127330
9320005111173
10101119471320
113998033a50a
12177208586a0
1396c6719cca
144c739cb400
15296c669c80
hex178b30aed8

101119471320 has 288 divisors, whose sum is σ = 356565492720. Its totient is φ = 22874503680.

The previous prime is 101119471307. The next prime is 101119471381. The reversal of 101119471320 is 23174911101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62380110 + ... + 62381730.

Almost surely, 2101119471320 is an apocalyptic number.

101119471320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101119471320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178282746360).

101119471320 is an abundant number, since it is smaller than the sum of its proper divisors (255446021400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101119471320 is a wasteful number, since it uses less digits than its factorization.

101119471320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 101119471320 in words is "one hundred one billion, one hundred nineteen million, four hundred seventy-one thousand, three hundred twenty".